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A

Anonymous

Feb 21, 2025

Can somebody help?

The supersonic aircraft Concorde has a length of 62.4 meters when sitting on the ground at a typical temperature of 15.0 °C. The Concorde is primarily constructed from aluminum. In flight, at twice the speed of sound, friction with the air warms the aircraft's skin, causing it to lengthen by 29.0 centimeters. (The passenger cabin is mounted on rollers, allowing the airplane to expand around it.) Given that the coefficient of linear expansion for aluminum is α = 2.40 × 10⁻⁵ /°C, what is the temperature T of the Concorde’s skin during flight?

1 Answers

A
Anonymous

Feb 14, 2025

t = temperature rise

Original length = 6240 cm

29 = 6240*2.40t/10^5

t = 2910^5/[2.46240]

= 193.6 C

T = 15+193.6

= 208.6 C

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